Question
What other information do you need to prove the triangles congruent using the AAS Congruence Postulate? A BCD (1 point) angle BAC = angle DAC; overline AB a overline AD; overline AB perp overline AD; angle CPA = angle CDA
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GPT 3.5
To prove the triangles congruent using the AAS Congruence Postulate, you will need the following additional information:
1. angle BAC = angle DAC
2. overline AB ≅ overline AD
3. angle CPA = angle CDA
The AAS Congruence Postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent. In this case, you have two angles (angle BAC and angle CPA) and the non-included side (overline AB) congruent to two angles (angle DAC and angle CDA) and the non-included side (overline AD) respectively. Therefore, if you are able to prove these three conditions, you can conclude that the triangles are congruent.
1. angle BAC = angle DAC
2. overline AB ≅ overline AD
3. angle CPA = angle CDA
The AAS Congruence Postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent. In this case, you have two angles (angle BAC and angle CPA) and the non-included side (overline AB) congruent to two angles (angle DAC and angle CDA) and the non-included side (overline AD) respectively. Therefore, if you are able to prove these three conditions, you can conclude that the triangles are congruent.
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